Displaying similar documents to “Natural liftings of $(0,2)$-tensor fields to the tangent bundle”

On skew 2-projectable almost complex structures on T M

Anton Dekrét (1998)

Archivum Mathematicum

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We deal with a ( 1 , 1 ) -tensor field α on the tangent bundle T M preserving vertical vectors and such that J α = - α J is a ( 1 , 1 ) -tensor field on M , where J is the canonical almost tangent structure on T M . A connection Γ α on T M is constructed by α . It is shown that if α is a V B -almost complex structure on T M without torsion then Γ α is a unique linear symmetric connection such that α ( Γ α ) = Γ α and ∇ Γ α ( J α ) = 0 .

On applications of the Yano–Ako operator

A. Magden, Arif A. Salimov (2006)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper we consider a method by which a skew-symmetric tensor field of type (1,2) in M n can be extended to the tensor bundle T q 0 ( M n ) ( q > 0 ) on the The results obtained are to some extend similar to results previously established for cotangent bundles T 1 0 ( M n ) . However, there are various important differences and it appears that the problem of lifting tensor fields of type (1,2) to the tensor bundle T q 0 ( M n ) ( q > 1 ) on the presents difficulties which are not encountered in the...